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GCD of 346, 582, 364 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 346, 582, 364 quickly. Get the easiest ways to solve the greatest common divisor of 346, 582, 364 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 346, 582, 364 with Factoring?

Given Input numbers are 346, 582, 364

In the factoring method, we have to find the divisors of all numbers

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364


GCD of numbers is the greatest common divisor

So, the GCD (346, 582, 364) = 2.

Find GCD of 346, 582, 364 using Prime Factorization

Given numbers are 346, 582, 364

The list of prime factors of all numbers are

Prime factors of 346 are 2 x 173

Prime factors of 582 are 2 x 3 x 97

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 21

Therefore, GCD of 346, 582, 364 is 2.

Steps to Calculate GCD of 346, 582, 364 using LCM Formula

Given numbers are 346, 582, 364

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(346, 582) = 100686

GCD(346, 582) = ( 346 x 582 ) / 100686

= 346 / 582

= 346


Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2


So, Greatest Common Divisor of 346, 582, 364 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 346, 582, 364

Given numbers are 346, 582, 364
The greatest common divisor of numbers 346, 582, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 582, 364 is 2.

FAQs on GCD of 346, 582, 364 Calculator

1. What is the GCD of 346, 582, 364?

GCD of given numbers 346, 582, 364 is 2


2. How to calculate the greatest common divisor of 346, 582, 364?

We can find the highest common divisor of 346, 582, 364 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 346, 582, 364 i.e 2.


3. How can I use the GCD of 346, 582, 364Calculator?

Out the numbers 346, 582, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.